This snippet takes about 13 seconds to run. I haven't included any code to preserve the result after ending, not only because the table is still accessible afterwards, but also because the IDE which the Basic interpreter is built into has an output window wchich the numbers can be found in.

As this simple task took 13 seconds, and I can't seem to be able to create a table big enough to deal with the 16bit challenge, and what seems to be a lack of MODULO or REMAINDER functions, it's also not that easy to use a smaller table and let different bits in each sell stand in for different numbers.

Someone PLEASE TELL ME that it's possible to speed this up significantly!